Falling, Bouncing and Hitting at the same place
Some small balls are dropped from a certain height H on to a fixed hemisphere of radius R near the vertical axis. After collision with surface they bounce up and come down and hit at the lowest point of hemisphere.
IF H = AR/B
Find A+B given they are co-prime positive integers.
1.)The collision is elastic.
2.)Balls do not hit each other
3.)Balls are removed as soon as they hit the lowest point of hemisphere.
1.)Make small approximations.